C is correct because both are the same numbers but they are different by significant figures.
Answer:
X-4
Step-by-step explanation:
Every year he pay like 100$
Compounded gon to be half
Quarter 1.3%
Answer:
Step-by-step explanation:
from the word Bi "meaning two"
Bivariate data are two different variables obtained from the same population element. Bivariate data are used if the sampled data cannot be graphically displayed using a single variable.
To form a bivariate data, there are three combinations of variable
1. Both variables are qualitative i.e attribute in nature
2. Both variables are quantitative i.e numerical
3. One of them is qualitative whilee the other is quantitative
Qualitative data are data that are measure of type which could represent a name, colour,symbol. traits or characteristics
Quantitative data are data that can be counted, measured and expressed using numbers/
The questions for this problem would be:
1. What is the dimensions of the box that has the maximum volume?
2. What is the maximum volume of the box?
Volume of a rectangular box = length x width x height
From the problem statement,
length = 12 - 2x
width = 9 - 2x
height = x
where x is the height of the box or the side of the equal squares from each corner and turning up the sides
V = (12-2x) (9-2x) (x)
V = (12 - 2x) (9x - 2x^2)
V = 108x - 24x^2 -18x^2 + 4x^3
V = 4x^3 - 42x^2 + 108x
To maximize the volume, we differentiate the expression of the volume and equate it to zero.
V = 4x^3 - 42x^2 + 108x
dV/dx = 12x^2 - 84x + 108
12x^2 - 84x + 108 = 0x^2 - 7x + 9 = 0
Solving for x,
x1 = 5.30 ; Volume = -11.872 (cannot be negative)
x2 = 1.70 ; Volume = 81.872
So, the answers are as follows:
1. What is the dimensions of the box that has the maximum volume?
length = 12 - 2x = 8.60
width = 9 - 2x = 5.60
height = x = 1.70
2. What is the maximum volume of the box?
Volume = 81.872
